118edo: Difference between revisions
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! Cents | ! Cents | ||
! Marks | ! Marks | ||
! Approximate Ratios * | ! Approximate Ratios* | ||
! Eliora's Naming System<br />(+Shruti 22 correspondence) | ! Eliora's Naming System<br />(+Shruti 22 correspondence) | ||
! Chemical Notation<br />(see below, if base note = 0) | ! Chemical Notation<br />(see below, if {{nowrap|base note {{=}} 0}}) | ||
! [[Ups and downs notation]] | ! [[Ups and downs notation]] | ||
! [[SKULO interval names|SKULO]] notation | ! [[SKULO interval names|SKULO]] notation | ||
| Line 1,103: | Line 1,103: | ||
| D | | D | ||
|} | |} | ||
<nowiki />* | <nowiki />* {{sg|2.3.5.7.11.17.19 subgroup}} | ||
<nowiki />** Based on a dual-interval interpretation for the 13th harmonic | <nowiki />** Based on a dual-interval interpretation for the 13th harmonic | ||
| Line 1,115: | Line 1,115: | ||
The following are the correspondences of the periodic table structure with 118edo: | The following are the correspondences of the periodic table structure with 118edo: | ||
* 2\118 is the width of the s-block, and is also the size of the Pythagorean and syntonic commas in 118edo. | * 2\118 is the width of the s-block, and is also the size of the Pythagorean and syntonic commas in 118edo. | ||
* 87\118 (francium, start of period 7) and 89\118 (actinium, start of the 7f-block), form 5/3 and 27/16 respectively. | * 87\118 (francium, start of period 7) and 89\118 (actinium, start of the 7f-block), form 5/3 and 27/16 respectively. | ||
* Mercury, ending the 6d-block, corresponds to 8/5. | * Mercury, ending the 6d-block, corresponds to 8/5. | ||
| Line 1,125: | Line 1,125: | ||
|- | |- | ||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br />8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
| Line 1,160: | Line 1,160: | ||
| 0.370 | | 0.370 | ||
| 3.89 | | 3.89 | ||
|-style="border-top: double;" | |- style="border-top: double;" | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 196/195, 352/351, 384/384, 625/624, 729/728 | | 196/195, 352/351, 384/384, 625/624, 729/728 | ||
| Line 1,167: | Line 1,167: | ||
| 0.604 | | 0.604 | ||
| 5.93 | | 5.93 | ||
|-style="border-top: double;" | |- style="border-top: double;" | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 169/168, 325/324, 364/363, 385/384, 3136/3125 | | 169/168, 325/324, 364/363, 385/384, 3136/3125 | ||
| Line 1,174: | Line 1,174: | ||
| 0.650 | | 0.650 | ||
| 6.39 | | 6.39 | ||
|-style="border-top: double;" | |- style="border-top: double;" | ||
| 2.3.5.7.11.17 | | 2.3.5.7.11.17 | ||
| 289/288, 385/384, 441/440, 561/560, 3136/3125 | | 289/288, 385/384, 441/440, 561/560, 3136/3125 | ||
| Line 1,193: | Line 1,193: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+ style="font-size: 105% | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br />per 8ve | ! Periods<br />per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br /> | ! Associated<br />ratio* | ||
! | ! Temperament | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 1,302: | Line 1,302: | ||
[[Category:Gamelismic]] | [[Category:Gamelismic]] | ||
[[Category:Guiron]] | [[Category:Guiron]] | ||
[[Category:Listen]] | |||
[[Category:Parakleismic]] | [[Category:Parakleismic]] | ||
[[Category:Portent]] | [[Category:Portent]] | ||
[[Category:Schismic]] | [[Category:Schismic]] | ||